Nonhomogeneous geometric distributions with relations to birth and death processes

Marvin Mandelbaum ^[1] ; Myron Hlynka ^[2] ; Percy Brill ^[2]
1. [1] York University (Canadá)
  
  York University (Canadá)
  
  Canadá
2. [2] University of Windsor
  
  University of Windsor
  
  Canadá
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 15, Nº. 2, 2007, págs. 281-296
Idioma: inglés
DOI: 10.1007/s11750-007-0018-z
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Resumen
- In this paper we introduce and study nonhomogeneous geometric random variables and their representations. We relate these to standard probability mass functions and to representations using birth-and-death processes. This facilitates comparison of various queueing models by birth/death models. We examine different queueing models with the same limiting distribution.